Let S = {x³ + ax² + bx + c: a, b, c ∈ ℕ and a, b, c ≤ 20} be a se… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 28 January, Shift 1Quadratic Equations in Complex Numbers

Let $S = \{x^3 + ax^2 + bx + c : a, b, c \in \mathbb{N} \text{ and } a, b, c \le 20\}$ be a set of polynomials. Then the number of polynomials in $S$ , which are divisible by $x^2 + 2$ , is:

A
$120$
B
$10$
C
$20$
D
$6$

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